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Finding the Third Proportional to 51,855.75 and 111,594.38

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Solution

The third proportional to 51,855.75 and 111,594.38 is: 240,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.75 : 111,594.38 = 111,594.38 : x
  2. Step 2: Convert to fraction form
    51,855.75/111,594.38 = 111,594.38/x
  3. Step 3: Cross multiply
    51,855.75x = 111,594.38 × 111,594.38
  4. Step 4: Simplify right side
    51,855.75x = 12,453,304,531.64
  5. Step 5: Solve for x
    x = 12,453,304,531.64/51,855.75
  6. Step 6: Final answer
    x = 240,152.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.